I think that we had a few cack-handers or left eye dominant shooters but as I seem to recall, in the 60's and well into the 70's, the MT wing sadists (the Military Training Wing) trainers didn't recognise anything non-standard. Not sexual orientation, religion, marital status, or ethnicity other that European. Nothing else - except what we called at the time, NATO standard! For the non-Infantry/Corps troops types attached to the Infantry Regiments, we had a Military Training morning or afternoon once a week. First a half hours Drill to loosen up a bit or run around the field. Then out in the field, classroom, field training area or ranges and by the end of the morning everyone shot '..... NATO standard'!
BAR amd Muffer were the bane of our existence as Corps troops!
I see one General is complaining about fatties in the Army........... Not in my day they weren't, believe me!